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Finding the Third Proportional to 183,570 and 282,363

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Solution

The third proportional to 183,570 and 282,363 is: 434,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,570 : 282,363 = 282,363 : x
  2. Step 2: Convert to fraction form
    183,570/282,363 = 282,363/x
  3. Step 3: Cross multiply
    183,570x = 282,363 × 282,363
  4. Step 4: Simplify right side
    183,570x = 79,728,863,769
  5. Step 5: Solve for x
    x = 79,728,863,769/183,570
  6. Step 6: Final answer
    x = 434,324.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.